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Finding the Third Proportional to 668.81 and 1,537.69

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Solution

The third proportional to 668.81 and 1,537.69 is: 3,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.81 : 1,537.69 = 1,537.69 : x
  2. Step 2: Convert to fraction form
    668.81/1,537.69 = 1,537.69/x
  3. Step 3: Cross multiply
    668.81x = 1,537.69 × 1,537.69
  4. Step 4: Simplify right side
    668.81x = 2,364,482.85
  5. Step 5: Solve for x
    x = 2,364,482.85/668.81
  6. Step 6: Final answer
    x = 3,535.34

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.